Information on Result #521120
There is no (15, 117, 41)-net in base 3, because extracting embedded OOA would yield OOA(3117, 41, S3, 3, 102), but
- the LP bound with quadratic polynomials shows that M ≥ 8008 897756 408761 320483 431092 011943 448679 786438 779805 548281 / 103 > 3117 [i]
Mode: Bound.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No (15, 118, 41)-net in base 3 | [i] | m-Reduction | |
| 2 | No (15, 119, 41)-net in base 3 | [i] | ||
| 3 | No (15, 120, 41)-net in base 3 | [i] | ||
| 4 | No (15, 121, 41)-net in base 3 | [i] | ||
| 5 | No (15, 122, 41)-net in base 3 | [i] | ||
| 6 | No (15, 123, 41)-net in base 3 | [i] | ||
| 7 | No (15, 124, 41)-net in base 3 | [i] | ||
| 8 | No (15, 125, 41)-net in base 3 | [i] | ||
| 9 | No (15, 126, 41)-net in base 3 | [i] | ||
| 10 | No (15, 127, 41)-net in base 3 | [i] | ||
| 11 | No (15, 128, 41)-net in base 3 | [i] | ||
| 12 | No (15, 129, 41)-net in base 3 | [i] | ||
| 13 | No (15, 130, 41)-net in base 3 | [i] | ||
| 14 | No (15, 131, 41)-net in base 3 | [i] | ||
| 15 | No (15, 132, 41)-net in base 3 | [i] | ||
| 16 | No (15, 133, 41)-net in base 3 | [i] | ||
| 17 | No (15, 134, 41)-net in base 3 | [i] | ||
| 18 | No (15, 135, 41)-net in base 3 | [i] | ||
| 19 | No (15, 136, 41)-net in base 3 | [i] | ||
| 20 | No (15, 137, 41)-net in base 3 | [i] | ||
| 21 | No (15, 138, 41)-net in base 3 | [i] | ||
| 22 | No (15, 139, 41)-net in base 3 | [i] | ||
| 23 | No (15, 140, 41)-net in base 3 | [i] | ||
| 24 | No (15, 141, 41)-net in base 3 | [i] | ||
| 25 | No (15, 142, 41)-net in base 3 | [i] | ||
| 26 | No (15, 143, 41)-net in base 3 | [i] | ||
| 27 | No (15, 144, 41)-net in base 3 | [i] | ||
| 28 | No (15, 145, 41)-net in base 3 | [i] | ||
| 29 | No (15, 146, 41)-net in base 3 | [i] | ||
| 30 | No (15, 147, 41)-net in base 3 | [i] | ||
| 31 | No (15, 148, 41)-net in base 3 | [i] | ||
| 32 | No (15, 149, 41)-net in base 3 | [i] | ||
| 33 | No (15, 150, 41)-net in base 3 | [i] | ||
| 34 | No (15, 151, 41)-net in base 3 | [i] | ||
| 35 | No (15, 152, 41)-net in base 3 | [i] | ||
| 36 | No (15, 153, 41)-net in base 3 | [i] | ||
| 37 | No (15, 154, 41)-net in base 3 | [i] | ||